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Charra [1.4K]
3 years ago
6

Ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A​

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Answer:

A=4.

Step-by-step explanation:

Note: In the expression of area the first term should be Ax^2.

It is given that area of a rectangular floor of your house is Ax^2+5x-2 and the length is (x+2) units.

We know that, area of a rectangle is

Area=length\times width

Since length of the rectangle is (x+2), therefore (x+2) is a factor of Ax^2+5x-2 and the value of Ax^2+5x-2 is 0 at x=-2.

A(-2)^2+5(-2)-2=0

4A-10-2=0

4A-12=0

4A=12

Divide both sides by 4.

A=4

Therefore, the value of A is 4.

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Vedmedyk [2.9K]

Answer:

  • w + c > 5
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Step-by-step explanation:

One inequality represents the number of bats. Their total number is more than 5:

  w + c > 5

The other inequality represents the money spent. The total amount is less than $400.

  49w + 100c < 400

4 0
3 years ago
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BabaBlast [244]

Given :

A T.V. is measure by its diagonal.

To Find :

If the height of a 60 inch  T.V. is 32 inches, what is the width.

Solution :

We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .

Let, width of T.V. is x.

Applying Pythagoras theorem in sides, we get :

height^2 + width^2 = hypotenuse^2\\\\23^2 + x^2 = 60^2\\\\x = \sqrt{3600 -529 }\\\\x = 55.42 \ inches

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7 0
3 years ago
Work out the lengths of sides a and b.
nlexa [21]

Answer:

No solution is possible since you failed to provide the necessary information

Step-by-step explanation:

3 0
3 years ago
Using the guess and check technique, find two numbers that satisfy both conditions.
maksim [4K]

Answer:

B.

Step-by-step explanation:

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7 0
3 years ago
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Monica spent 3/4 hours listening to tapes of Beethoven and Brahms. She spent 1/5 hours listening to Beethoven . How many hours w
ELEN [110]

Answer:

Monica spent 0.55 hours listening to Brahms.

Step-by-step explanation:

We are given the following in the question:

Amount of time spent  listening to tapes of Beethoven and Brahms =

=\dfrac{3}{4}

Amount of time spent  listening to Beethoven =

=\dfrac{1}{5}

Total time spent listening to Brahms =

Amount of time spent  listening to tapes of Beethoven and Brahms - Amount of time spent  listening to Beethoven

=\dfrac{3}{4}-\dfrac{1}{5}\\\\=\dfrac{15-4}{20}\\\\=\dfrac{11}{20}\text{ Hours}\\\\=0.55\text{ Hours}

Thus, Monica spent  \frac{11}{20}\text{ hours} listening to Brahms.

7 0
3 years ago
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